Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/790,1397/408
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 374,1397
Greatest Common Factor of Numerators i.e. GCF of 374,1397 is 11 .
LCM of Denominators means LCM of 790,408 as per the given fractions.
LCM of 790,408 is 161160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 374,1397
11 | 374, 1397 |
34, 127 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 1397
List of positive integer factors of 1397 that divides 1397 without a remainder.
1,11,127,1397
Greatest Common Factor
We found the factors 374,1397 . The biggest common factor number is the GCF number.
So the greatest common factor 374,1397 is 11.
Lets's calculate LCM of 790,408
2 | 790, 408 |
395, 204 |
∴ So the LCM of the given numbers is 2 x 395 x 204 = 161160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/161160
Therefore, the GCF of Fractions 374/790,1397/408 is 11/161160
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 790,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,408) x common factors =2 x 1 = 2
LCM(790,408) = ( 790 × 408 ) / 2
LCM(790,408) = 322320 / 2
LCM(790,408) = 161160
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 374/790, 1397/408?
Answer: GCF of Numerators as per given numbers 374/790, 1397/408 is
GCF of Numerators i.e. for 374,1397 is 11
LCM of denominators i.e. for 790,408 is 161160.
Thus, GCF of Fractions is 11/161160.Finally, GCF of Fractions for 374/790, 1397/408 is 11/161160.